MC2paedia - Geogami Outline

The outline map for geogami (click on each section to see the detailed descriptions and prompts)
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	Introduction to Origami Projects Watch and reflect on Between the Folds Find and fold a variety of origami patterns (http://www.youtube.com/user/tomhull17) Research Sadako Sasaki and the legend of 1,000 paper cranes Watch and reflect on Robert Lang's TED talk on origami Standards Apply Geometric concepts in modeling situations
	Palm Reading Projects Analyze crease patterns and develop and test 3-5 rules for "palm reading" origami Standards Understand congruence in terms of rigid motions
	Folding Polygons and Polyhedra** Projects Create origami polyhedra and polygons and categorize by characteristics Standards Explain volume formulas and use them to solve problems Visualize relationships between 2- and 3-dimensional objects
	Tesselations (under construction- coming soon) Projects Explore tessellation Standards Experiment with transformations in the plane
	Constructions and Proofs** Projects Explore geometric proofs using origami folding Dissect straightedge/compass constructions and compare these to origami constructions Explain why some "impossible constructions" aren't really impossible Standards Prove Geometric Theorems Make Geometric Constructions Use coordinates to prove simple geometric theorems algebraically
	Trigonometry** Projects Execute and explain trigonometric proofs using origami Standards Understand similarity in terms of similarity transformations Prove theorems involving similarity Define trigonometric ratios and solve problems involving right triangles Apply trigonometry to general triangles
	Circles and Conic Sections (under construction- coming soon) Projects Read "Circular Origami" by Eva Knoll Explore origami patterns using circular paper, identifying Analyze crease patterns and identify circle quantities and properties Standards Understand and apply theorems about circles Find arc length and areas of sectors of circles Translate between the geometric description and the equation for a conic section